First slide

Equation of wave

Question

A transverse wave in a medium is described by the equation y = A sin (at-bx) where a and b are constants. The maximum velocity of a particle of the medium will be four times the wave velocity, if the value of the product A×b is equal to

Easy

A

1
B

2
C

4
D

8

Solution

${(V_{P})}_{M A X I M U M} = A ω a n d V_{w a v e} = \frac{ω}{k} g i v e n A ω = 4 (\frac{ω}{k}) A = \frac{4}{k} = \frac{4}{b} A b = 4$

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